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Finding the Fourth Proportional to 194,481.32, 268,384.22 and 105,057.32

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Solution

The fourth proportional to 194,481.32, 268,384.22 and 105,057.32 is: 144,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,481.32 : 268,384.22 = 105,057.32 : x
  2. Step 2: Convert to fraction form
    194,481.32/268,384.22 = 105,057.32/x
  3. Step 3: Cross multiply
    194,481.32x = 268,384.22 × 105,057.32
  4. Step 4: Simplify right side
    194,481.32x = 28,195,726,883.49
  5. Step 5: Solve for x
    x = 28,195,726,883.49/194,481.32
  6. Step 6: Final answer
    x = 144,979.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.